What are the solutions to the equation x^2-1/2 x-3/16 =0 ?

The solutions to the equation x^2-1/2 x-3/16 =0 are x= 3/4 ,x=-1/4

Find the zeros of x^2-1/2 x-3/16 =0

The zeros of x^2-1/2 x-3/16 =0 are x= 3/4 ,x=-1/4

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x^{2} - \frac{1}{2} x - \frac{3}{16} = 0

x = \frac{3}{4}, x = - \frac{1}{4}

Decimal Notation

x = 0.75, x = - 0.25

Solution steps

x^{2} - \frac{1}{2} x - \frac{3}{16} = 0

Find Least Common Multiplier of

2, 16 : 16

Multiply by LCM=

16

x^{2} \cdot 16 - \frac{1}{2} x \cdot 16 - \frac{3}{16} \cdot 16 = 0 \cdot 16

Simplify

16 x^{2} - 8 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 16 ( - 3 )}{2 \cdot 16}

(- 8)^{2} - 4 \cdot 16 (- 3) = 16

x_{1, 2} = \frac{- ( - 8 ) \pm 16}{2 \cdot 16}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 16}{2 \cdot 16}, x_{2} = \frac{- ( - 8 ) - 16}{2 \cdot 16}

x = \frac{- ( - 8 ) + 16}{2 \cdot 16} : \frac{3}{4}

x = \frac{- ( - 8 ) - 16}{2 \cdot 16} : - \frac{1}{4}

The solutions to the quadratic equation are:

x = \frac{3}{4}, x = - \frac{1}{4}

3 j^{3} - 6 j

3 x + 9 > 7 x - 3

8^{3} + 125

28 \cdot 7

(\frac{3}{x})^{2}

What are the solutions to the equation x^2-1/2 x-3/16 =0 ?
The solutions to the equation x^2-1/2 x-3/16 =0 are x= 3/4 ,x=-1/4
Find the zeros of x^2-1/2 x-3/16 =0
The zeros of x^2-1/2 x-3/16 =0 are x= 3/4 ,x=-1/4